Energy of Stationary States Formula:
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Definition: Energy of Stationary States is the energy at a quantum state with all observables independent of time.
Purpose: This calculator helps determine the energy levels of electrons in atoms using the Bohr model.
The calculator uses the formula:
Where:
Explanation: The energy depends on the atomic number squared and inversely on the square of the quantum number.
Details: Calculating stationary state energies helps understand atomic spectra, electron transitions, and quantum behavior.
Tips: Enter the atomic number (Z) and principal quantum number (n). Both must be positive integers.
Q1: What is the Rydberg constant?
A: The Rydberg constant represents the limiting value of the highest wavenumber of any photon that can be emitted from hydrogen.
Q2: What are typical quantum numbers?
A: For hydrogen (Z=1), n=1 is the ground state, n=2 is the first excited state, etc.
Q3: Why does energy depend on Z²?
A: The energy scales with the square of the nuclear charge due to the Coulomb potential.
Q4: What units is the energy in?
A: The energy is calculated in Joules (J).
Q5: Can this be used for all atoms?
A: This formula works best for hydrogen-like atoms (single electron systems).